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Finding the Fourth Proportional to 541,210.56, 747,020.70 and 314,899.80

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Solution

The fourth proportional to 541,210.56, 747,020.70 and 314,899.80 is: 434,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,210.56 : 747,020.70 = 314,899.80 : x
  2. Step 2: Convert to fraction form
    541,210.56/747,020.70 = 314,899.80/x
  3. Step 3: Cross multiply
    541,210.56x = 747,020.70 × 314,899.80
  4. Step 4: Simplify right side
    541,210.56x = 235,236,669,025.86
  5. Step 5: Solve for x
    x = 235,236,669,025.86/541,210.56
  6. Step 6: Final answer
    x = 434,649.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.